Symmetry Worksheets, Questions and Revision

Symmetry Worksheets, Questions and Revision

GCSE 1 - 3KS3AQAEdexcelOCRWJECFoundationAQA 2022OCR 2022WJEC 2022

Symmetry

Some 2D shapes have lines of symmetry and rotational symmetry.

Line of symmetry – This is a line that you can draw through a shape such that what you see on one side of that line is a “mirror-image” of what you see on the other side.

Rotational symmetry – The order of rotational symmetry of a shape is the number of times the shape can be rotated and still look the same.

You should be happy with the following topics before vising symmetry:

2D Shapes and Quadrilaterals

Level 1-3 GCSE KS3 AQA Edexcel OCR WJEC

Lines of Symmetry in Regular Polygons

Below are a selection of common shapes with their lines of symmetry shown as red, dashed lines.

The number of lines of symmetry in a regular polygon is equal to the number of sides.

Level 1-3GCSEKS3AQAEdexcelOCRWJEC

Rotational symmetry

The order of rotational symmetry of a shape is the number of times the shape can be rotated and still look the same.

The pentagon below can be rotated 5 times and look the same.

This means it has rotational symmetry order 5.

If a shape can be rotated 360\degree and only looks the same when it is back at its original position, then it has rotational symmetry order 1.

The rotational symmetry and lines of symmetry of common shapes is shown below.

Level 1-3GCSEKS3AQAEdexcelOCRWJEC

Irregular polygons

Many shapes have no lines of symmetry at all, like the triangle shown below.

So, we can conclude that some triangles are symmetrical whilst others are not.

The trapezium on the left has 1 line of symmetry, whilst the trapezium on the right has none.

There’s no need to try to memorise all of these shapes and their lines of symmetry. Instead, get used to what a shape looks like when it is symmetrical.

Level 1-3GCSEKS3AQAEdexcelOCRWJEC

Example Questions

Looking at the picture we can see an equilateral triangle has three lines of symmetry, each one from a vertex to the centre of the opposing side,

symmetry in triangle question answer

Looking at the picture we can see an isosceles triangle only has one line of symmetry, a vertical line from top to bottom.

 

isosceles triangle symmetry question answer

If we recall, a regular pentagon should have 5 lines of symmetry since it has 5 sides. Drawing all 5 lines on, we get the picture below:

 

pentagon symmetry question answer

There are a number of possible shapes you could make with two lines of symmetry, the most straightforward being a rectangle.

rectangle lines of symmetry question answer

The shape has 8 lines of symmetry .

symmetrical shapes question answer

Related Topics

MME

2D Shapes and Quadrilaterals

Level 1-3GCSEKS3

Worksheet and Example Questions

Site Logo

(NEW) Symmetry Exam Style Questions - MME

Level 1-3 GCSE KS3NewOfficial MME

You May Also Like...

GCSE Maths Revision Cards

Revise for your GCSE maths exam using the most comprehensive maths revision cards available. These GCSE Maths revision cards are relevant for all major exam boards including AQA, OCR, Edexcel and WJEC.

£8.99
View Product

GCSE Maths Revision Guide

The MME GCSE maths revision guide covers the entire GCSE maths course with easy to understand examples, explanations and plenty of exam style questions. We also provide a separate answer book to make checking your answers easier!

From: £14.99
View Product